Positive solutions to a second order multi-point boundary-value problem

We prove the existence of positive solutions to the boundary-value problem $$ displaylines{ u''+lambda a(t)f(u,u')=0 cr u(0)=0,quad u(1)=sum^{m-2}_{i=1} a_i u(xi_i) ,, }$$ where $a$ is a continuous function that may change sign on $[0,1]$, $f$ is a continuous function with $f(0,0)>...

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Bibliographic Details
Main Authors: Daomin Cao, Ruyun Ma
Format: Article
Language:English
Published: Texas State University 2000-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/65/abstr.html